I believe he will call my shove with {AA,KK,JJ,88,99} (30 combos) against which I have 25.3% equity. He will fold with {AJ,KJs,QQ} (26 combos).
He will fold 46% of the time.
Let's see now what is the Pfold to get EV=0:

players won´t b/f turn tp or overpair hand, since you can shove there too many pair+draw hands, so I think you don´t have any fold equity on the turn against tp+ hands
but nevertheless I´d shove, since he can barrel there smt like AT, KQ,56s and so on, that you´re ahead of and if you are behind smt like AJ, then you have a lot of outs to hit your two pair, trips or straight